𝓗.R. Srinivasa Ramanujan - JulTob/Mathematics GitHub Wiki

Mainly concerned with number theory, he also contributed substantially to analysis and other areas.

Ramanujan was born on December 22, 1887, in Erode, in the Indian province of Tamil Nadu. After a few months, his mother, Komalatammal, returned with her son to her home in Kumbakonam, close to Madras, where the father was a clerk.

At twelve, Ramanujan borrowed a copy of Loney's Plane Trigonometry and worked out all the problems. Some concepts included infinite series and elementary functions of complex variables.

At fifteen he borrowed G.S.Carr's A Synopsis of Elementary Results in Pure Mathematics from a library. his was his primary source for learning mathematics. 4417 results with few proofs.

At the age of sixteen, Ramanujan entered the Government College in Kumbakonam. By that time, Ramanujan was completely devoted to mathematics, but failed all other subjects. He tried twice to get into College, failing twice.

Coming from a poor family, he wrote down in notebooks the results of his dedication to mathematics. He showed these to the founder of the Indian Mathematical Society, R. Ayyar, who provided a monthly allowance so he could continue his mathematical investigations.

After some time he refused this allowance and started writing to foreigner mathematicians, among them G.H. Hardy. Hardy encouraged Ramanujan to come to Cambridge. He accepted and travelled to the UK in 1914.

Ramanujan soon became famous for the papers he published in England, many of them coauthored with Hardy.

Together they launched the field of Probabilistic Number Theory.

By the end of his third year in England. Ramanujan was critically ill, and, for the next two years, he was confined to a sanitary·

Ramanujan's health turned slightly upward when in 1918 he became the second Indian to be elected as a fellow of the Royal Society and the first Indian to be chosen as a fellow of Trinity College. After World War I ended, in 1919, Ramanujan returned home, but his health continued to deteriorate.

On April 26, 1920, Ramanujan died at the age of 32.